2. An aluminum alloy is required to withstand at least 10^7 stress cycles. The results of the tests show that when the range of stress changes is equal to 114.3 or 161.5 MPa.the part will break after 10^8 cycles or 10^5 cycles, respectively. If the fatigue behavior of this alloy can be expressed by the following equation, C=Delta sigma ^20N_(f) Where C=constant and N_(f) is the number of cycles to failure. calculate the appropriate stress __

To calculate the appropriate stress range for the aluminum alloy to withstand at least stress cycles, we can use the given equation .Given: = constant = number of cycles to failure = stress rangeWe need to find the stress range that will result in at least stress cycles.Rearranging the equation, we get: Substituting the given values: To find the value of , we can use the given data points: Now, we can substitute these values into the equation: Calculating these values, we get: Therefore, the appropriate stress range for the aluminum alloy to withstand at least stress cycles is between 114.3 MPa and 161.5 MPa.